Integral inequalities for <i>n</i>-polynomial <i>s</i>-type preinvex functions with applications

Ihsan Butt S., Budak H., Tariq M., Nadeem M.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, sa.14, ss.11006-11021, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1002/mma.7465
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.11006-11021
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this present paper, we introduce the idea and concept of n-polynomial s-type preinvex functions. We elaborate and investigate the algebraic properties of the newly introduced definition and discuss their connections and relations with convex functions. We find the new sort of Hermite-Hadamard inequality via a newly introduced definition. Furthermore, some refinements of Hermite-Hadamard inequality are given. Finally, we investigated some applications via this newly introduced definition. The results obtained in this paper can be viewed as significant improvement of previously known results.